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Simplifying 3a + -4(2a + -5) = 7a + 1 Reorder the terms: 3a + -4(-5 + 2a) = 7a + 1 3a + (-5 * -4 + 2a * -4) = 7a + 1 3a + (20 + -8a) = 7a + 1 Reorder the terms: 20 + 3a + -8a = 7a + 1 Combine like terms: 3a + -8a = -5a 20 + -5a = 7a + 1 Reorder the terms: 20 + -5a = 1 + 7a Solving 20 + -5a = 1 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 20 + -5a + -7a = 1 + 7a + -7a Combine like terms: -5a + -7a = -12a 20 + -12a = 1 + 7a + -7a Combine like terms: 7a + -7a = 0 20 + -12a = 1 + 0 20 + -12a = 1 Add '-20' to each side of the equation. 20 + -20 + -12a = 1 + -20 Combine like terms: 20 + -20 = 0 0 + -12a = 1 + -20 -12a = 1 + -20 Combine like terms: 1 + -20 = -19 -12a = -19 Divide each side by '-12'. a = 1.583333333 Simplifying a = 1.583333333
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